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Finding the Fourth Proportional to 41,590, 62,385.48 and 12,008.16

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Solution

The fourth proportional to 41,590, 62,385.48 and 12,008.16 is: 18,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,590 : 62,385.48 = 12,008.16 : x
  2. Step 2: Convert to fraction form
    41,590/62,385.48 = 12,008.16/x
  3. Step 3: Cross multiply
    41,590x = 62,385.48 × 12,008.16
  4. Step 4: Simplify right side
    41,590x = 749,134,825.52
  5. Step 5: Solve for x
    x = 749,134,825.52/41,590
  6. Step 6: Final answer
    x = 18,012.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.